On the Magnetic Fields, Beaming Fractions, and Fastness Parameters of Pulsating Ultra-Luminous X-Ray Sources. (arXiv:2007.08102v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Erkut_M/0/1/0/all/0/1">M.H. Erkut</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Turkoglu_M/0/1/0/all/0/1">M.M. T&#xfc;rko&#x11f;lu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Eksi_K/0/1/0/all/0/1">K.Y. Ek&#x15f;i</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Alpar_M/0/1/0/all/0/1">M.A. Alpar</a>

Discovery of pulsating ultra-luminous X-ray sources (PULX) suggests that
neutron stars are presumably common within the ultra-luminous X-ray source
(ULX) population though the majority of the population members are currently
lacking pulsations. These systems are likely to host neutron stars accreting
mass at super-Eddington (super-critical) rates from their massive companion in
high-mass X-ray binaries. Taking into account the spherization of the accretion
flow in the super-critical regime, the beaming of X-ray emission, and the
reduction of the scattering cross-section in a strong magnetic field, we infer
the ranges for the neutron-star surface magnetic dipole field strengths,
beaming fractions, and fastness parameters in the PULX M82 X-2, ULX NGC 5907,
ULX NGC 7793 P13, NGC 300 ULX1, M51 ULX-7, NGC 1313 X-2, and Swift J0243.6+6124
from a set of conditions based on a variety of combinations of different spin
and luminosity states. Using the observed spin-up rates under the critical
luminosity condition, we estimate the surface-field strengths in the $sim
10^{11}-10^{13},{rm G}$ range for all PULX. In general, the results of our
analysis under the subcritical luminosity condition indicate surface-field
strengths in the $sim 10^{11}-10^{15},{rm G}$ range. We argue that the PULX
do not require magnetar-strength surface dipole fields if beaming is taken into
account; yet the fields are strong enough for the neutron stars in ULX to
magnetically channel the accretion flow in super-critical accretion disks.

Discovery of pulsating ultra-luminous X-ray sources (PULX) suggests that
neutron stars are presumably common within the ultra-luminous X-ray source
(ULX) population though the majority of the population members are currently
lacking pulsations. These systems are likely to host neutron stars accreting
mass at super-Eddington (super-critical) rates from their massive companion in
high-mass X-ray binaries. Taking into account the spherization of the accretion
flow in the super-critical regime, the beaming of X-ray emission, and the
reduction of the scattering cross-section in a strong magnetic field, we infer
the ranges for the neutron-star surface magnetic dipole field strengths,
beaming fractions, and fastness parameters in the PULX M82 X-2, ULX NGC 5907,
ULX NGC 7793 P13, NGC 300 ULX1, M51 ULX-7, NGC 1313 X-2, and Swift J0243.6+6124
from a set of conditions based on a variety of combinations of different spin
and luminosity states. Using the observed spin-up rates under the critical
luminosity condition, we estimate the surface-field strengths in the $sim
10^{11}-10^{13},{rm G}$ range for all PULX. In general, the results of our
analysis under the subcritical luminosity condition indicate surface-field
strengths in the $sim 10^{11}-10^{15},{rm G}$ range. We argue that the PULX
do not require magnetar-strength surface dipole fields if beaming is taken into
account; yet the fields are strong enough for the neutron stars in ULX to
magnetically channel the accretion flow in super-critical accretion disks.

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